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Finding the Fourth Proportional to 205.11, 280.82 and 203.13

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Solution

The fourth proportional to 205.11, 280.82 and 203.13 is: 278.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    205.11 : 280.82 = 203.13 : x
  2. Step 2: Convert to fraction form
    205.11/280.82 = 203.13/x
  3. Step 3: Cross multiply
    205.11x = 280.82 × 203.13
  4. Step 4: Simplify right side
    205.11x = 57,043.47
  5. Step 5: Solve for x
    x = 57,043.47/205.11
  6. Step 6: Final answer
    x = 278.11

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.